aggs_for_arrays

计算数组聚合统计值的函数包

概览

扩展包名	版本	分类	许可证	语言
`aggs_for_arrays`	`1.3.3`	FUNC	MIT	C

ID	扩展名	Bin	Lib	Load	Create	Trust	Reloc	模式
4750	`aggs_for_arrays`	否	是	否	是	否	是	-

相关扩展	`intarray` `arraymath` `aggs_for_vecs` `floatvec`

版本

类型	仓库	版本	PG 大版本	包名	依赖
EXT	PIGSTY	`1.3.3`	1817161514	`aggs_for_arrays`	-
RPM	PIGSTY	`1.3.3`	1817161514	`aggs_for_arrays_$v`	-
DEB	PIGSTY	`1.3.3`	1817161514	`postgresql-$v-aggs-for-arrays`	-

OS / PG	PG18	PG17	PG16	PG15	PG14
el8.x86_64	PIGSTY 1.3.3 el8.x86_64.pg18 : aggs_for_arrays_18 aggs_for_arrays_18-1.3.3-1PIGSTY.el8.x86_64.rpm PIGSTY · 1.3.3 · 27.6KiB	PIGSTY 1.3.3 el8.x86_64.pg17 : aggs_for_arrays_17 aggs_for_arrays_17-1.3.3-1PIGSTY.el8.x86_64.rpm PIGSTY · 1.3.3 · 27.6KiB	PIGSTY 1.3.3 el8.x86_64.pg16 : aggs_for_arrays_16 aggs_for_arrays_16-1.3.3-1PIGSTY.el8.x86_64.rpm PIGSTY · 1.3.3 · 27.6KiB	PIGSTY 1.3.3 el8.x86_64.pg15 : aggs_for_arrays_15 aggs_for_arrays_15-1.3.3-1PIGSTY.el8.x86_64.rpm PIGSTY · 1.3.3 · 27.7KiB	PIGSTY 1.3.3 el8.x86_64.pg14 : aggs_for_arrays_14 aggs_for_arrays_14-1.3.3-1PIGSTY.el8.x86_64.rpm PIGSTY · 1.3.3 · 27.7KiB
el8.aarch64	PIGSTY 1.3.3 el8.aarch64.pg18 : aggs_for_arrays_18 aggs_for_arrays_18-1.3.3-1PIGSTY.el8.aarch64.rpm PIGSTY · 1.3.3 · 30.8KiB	PIGSTY 1.3.3 el8.aarch64.pg17 : aggs_for_arrays_17 aggs_for_arrays_17-1.3.3-1PIGSTY.el8.aarch64.rpm PIGSTY · 1.3.3 · 30.8KiB	PIGSTY 1.3.3 el8.aarch64.pg16 : aggs_for_arrays_16 aggs_for_arrays_16-1.3.3-1PIGSTY.el8.aarch64.rpm PIGSTY · 1.3.3 · 30.9KiB	PIGSTY 1.3.3 el8.aarch64.pg15 : aggs_for_arrays_15 aggs_for_arrays_15-1.3.3-1PIGSTY.el8.aarch64.rpm PIGSTY · 1.3.3 · 31.0KiB	PIGSTY 1.3.3 el8.aarch64.pg14 : aggs_for_arrays_14 aggs_for_arrays_14-1.3.3-1PIGSTY.el8.aarch64.rpm PIGSTY · 1.3.3 · 31.0KiB
el9.x86_64	PIGSTY 1.3.3 el9.x86_64.pg18 : aggs_for_arrays_18 aggs_for_arrays_18-1.3.3-1PIGSTY.el9.x86_64.rpm PIGSTY · 1.3.3 · 26.9KiB	PIGSTY 1.3.3 el9.x86_64.pg17 : aggs_for_arrays_17 aggs_for_arrays_17-1.3.3-1PIGSTY.el9.x86_64.rpm PIGSTY · 1.3.3 · 26.9KiB	PIGSTY 1.3.3 el9.x86_64.pg16 : aggs_for_arrays_16 aggs_for_arrays_16-1.3.3-1PIGSTY.el9.x86_64.rpm PIGSTY · 1.3.3 · 26.8KiB	PIGSTY 1.3.3 el9.x86_64.pg15 : aggs_for_arrays_15 aggs_for_arrays_15-1.3.3-1PIGSTY.el9.x86_64.rpm PIGSTY · 1.3.3 · 27.0KiB	PIGSTY 1.3.3 el9.x86_64.pg14 : aggs_for_arrays_14 aggs_for_arrays_14-1.3.3-1PIGSTY.el9.x86_64.rpm PIGSTY · 1.3.3 · 27.0KiB
el9.aarch64	PIGSTY 1.3.3 el9.aarch64.pg18 : aggs_for_arrays_18 aggs_for_arrays_18-1.3.3-1PIGSTY.el9.aarch64.rpm PIGSTY · 1.3.3 · 31.3KiB	PIGSTY 1.3.3 el9.aarch64.pg17 : aggs_for_arrays_17 aggs_for_arrays_17-1.3.3-1PIGSTY.el9.aarch64.rpm PIGSTY · 1.3.3 · 31.2KiB	PIGSTY 1.3.3 el9.aarch64.pg16 : aggs_for_arrays_16 aggs_for_arrays_16-1.3.3-1PIGSTY.el9.aarch64.rpm PIGSTY · 1.3.3 · 31.3KiB	PIGSTY 1.3.3 el9.aarch64.pg15 : aggs_for_arrays_15 aggs_for_arrays_15-1.3.3-1PIGSTY.el9.aarch64.rpm PIGSTY · 1.3.3 · 31.4KiB	PIGSTY 1.3.3 el9.aarch64.pg14 : aggs_for_arrays_14 aggs_for_arrays_14-1.3.3-1PIGSTY.el9.aarch64.rpm PIGSTY · 1.3.3 · 31.4KiB
el10.x86_64	PIGSTY 1.3.3 el10.x86_64.pg18 : aggs_for_arrays_18 aggs_for_arrays_18-1.3.3-1PIGSTY.el10.x86_64.rpm PIGSTY · 1.3.3 · 27.8KiB	PIGSTY 1.3.3 el10.x86_64.pg17 : aggs_for_arrays_17 aggs_for_arrays_17-1.3.3-1PIGSTY.el10.x86_64.rpm PIGSTY · 1.3.3 · 27.8KiB	PIGSTY 1.3.3 el10.x86_64.pg16 : aggs_for_arrays_16 aggs_for_arrays_16-1.3.3-1PIGSTY.el10.x86_64.rpm PIGSTY · 1.3.3 · 27.8KiB	PIGSTY 1.3.3 el10.x86_64.pg15 : aggs_for_arrays_15 aggs_for_arrays_15-1.3.3-1PIGSTY.el10.x86_64.rpm PIGSTY · 1.3.3 · 27.9KiB	PIGSTY 1.3.3 el10.x86_64.pg14 : aggs_for_arrays_14 aggs_for_arrays_14-1.3.3-1PIGSTY.el10.x86_64.rpm PIGSTY · 1.3.3 · 27.9KiB
el10.aarch64	PIGSTY 1.3.3 el10.aarch64.pg18 : aggs_for_arrays_18 aggs_for_arrays_18-1.3.3-1PIGSTY.el10.aarch64.rpm PIGSTY · 1.3.3 · 33.7KiB	PIGSTY 1.3.3 el10.aarch64.pg17 : aggs_for_arrays_17 aggs_for_arrays_17-1.3.3-1PIGSTY.el10.aarch64.rpm PIGSTY · 1.3.3 · 33.7KiB	PIGSTY 1.3.3 el10.aarch64.pg16 : aggs_for_arrays_16 aggs_for_arrays_16-1.3.3-1PIGSTY.el10.aarch64.rpm PIGSTY · 1.3.3 · 33.7KiB	PIGSTY 1.3.3 el10.aarch64.pg15 : aggs_for_arrays_15 aggs_for_arrays_15-1.3.3-1PIGSTY.el10.aarch64.rpm PIGSTY · 1.3.3 · 33.9KiB	PIGSTY 1.3.3 el10.aarch64.pg14 : aggs_for_arrays_14 aggs_for_arrays_14-1.3.3-1PIGSTY.el10.aarch64.rpm PIGSTY · 1.3.3 · 33.9KiB
d12.x86_64	PIGSTY 1.3.3 d12.x86_64.pg18 : postgresql-18-aggs-for-arrays postgresql-18-aggs-for-arrays_1.3.3-1PIGSTY~bookworm_amd64.deb PIGSTY · 1.3.3 · 42.3KiB	PIGSTY 1.3.3 d12.x86_64.pg17 : postgresql-17-aggs-for-arrays postgresql-17-aggs-for-arrays_1.3.3-1PIGSTY~bookworm_amd64.deb PIGSTY · 1.3.3 · 42.4KiB	PIGSTY 1.3.3 d12.x86_64.pg16 : postgresql-16-aggs-for-arrays postgresql-16-aggs-for-arrays_1.3.3-1PIGSTY~bookworm_amd64.deb PIGSTY · 1.3.3 · 42.4KiB	PIGSTY 1.3.3 d12.x86_64.pg15 : postgresql-15-aggs-for-arrays postgresql-15-aggs-for-arrays_1.3.3-1PIGSTY~bookworm_amd64.deb PIGSTY · 1.3.3 · 42.6KiB	PIGSTY 1.3.3 d12.x86_64.pg14 : postgresql-14-aggs-for-arrays postgresql-14-aggs-for-arrays_1.3.3-1PIGSTY~bookworm_amd64.deb PIGSTY · 1.3.3 · 42.6KiB
d12.aarch64	PIGSTY 1.3.3 d12.aarch64.pg18 : postgresql-18-aggs-for-arrays postgresql-18-aggs-for-arrays_1.3.3-1PIGSTY~bookworm_arm64.deb PIGSTY · 1.3.3 · 46.8KiB	PIGSTY 1.3.3 d12.aarch64.pg17 : postgresql-17-aggs-for-arrays postgresql-17-aggs-for-arrays_1.3.3-1PIGSTY~bookworm_arm64.deb PIGSTY · 1.3.3 · 46.9KiB	PIGSTY 1.3.3 d12.aarch64.pg16 : postgresql-16-aggs-for-arrays postgresql-16-aggs-for-arrays_1.3.3-1PIGSTY~bookworm_arm64.deb PIGSTY · 1.3.3 · 46.9KiB	PIGSTY 1.3.3 d12.aarch64.pg15 : postgresql-15-aggs-for-arrays postgresql-15-aggs-for-arrays_1.3.3-1PIGSTY~bookworm_arm64.deb PIGSTY · 1.3.3 · 47.1KiB	PIGSTY 1.3.3 d12.aarch64.pg14 : postgresql-14-aggs-for-arrays postgresql-14-aggs-for-arrays_1.3.3-1PIGSTY~bookworm_arm64.deb PIGSTY · 1.3.3 · 47.2KiB
d13.x86_64	PIGSTY 1.3.3 d13.x86_64.pg18 : postgresql-18-aggs-for-arrays postgresql-18-aggs-for-arrays_1.3.3-1PIGSTY~trixie_amd64.deb PIGSTY · 1.3.3 · 42.9KiB	PIGSTY 1.3.3 d13.x86_64.pg17 : postgresql-17-aggs-for-arrays postgresql-17-aggs-for-arrays_1.3.3-1PIGSTY~trixie_amd64.deb PIGSTY · 1.3.3 · 42.9KiB	PIGSTY 1.3.3 d13.x86_64.pg16 : postgresql-16-aggs-for-arrays postgresql-16-aggs-for-arrays_1.3.3-1PIGSTY~trixie_amd64.deb PIGSTY · 1.3.3 · 42.9KiB	PIGSTY 1.3.3 d13.x86_64.pg15 : postgresql-15-aggs-for-arrays postgresql-15-aggs-for-arrays_1.3.3-1PIGSTY~trixie_amd64.deb PIGSTY · 1.3.3 · 43.1KiB	PIGSTY 1.3.3 d13.x86_64.pg14 : postgresql-14-aggs-for-arrays postgresql-14-aggs-for-arrays_1.3.3-1PIGSTY~trixie_amd64.deb PIGSTY · 1.3.3 · 43.1KiB
d13.aarch64	PIGSTY 1.3.3 d13.aarch64.pg18 : postgresql-18-aggs-for-arrays postgresql-18-aggs-for-arrays_1.3.3-1PIGSTY~trixie_arm64.deb PIGSTY · 1.3.3 · 47.7KiB	PIGSTY 1.3.3 d13.aarch64.pg17 : postgresql-17-aggs-for-arrays postgresql-17-aggs-for-arrays_1.3.3-1PIGSTY~trixie_arm64.deb PIGSTY · 1.3.3 · 47.8KiB	PIGSTY 1.3.3 d13.aarch64.pg16 : postgresql-16-aggs-for-arrays postgresql-16-aggs-for-arrays_1.3.3-1PIGSTY~trixie_arm64.deb PIGSTY · 1.3.3 · 47.9KiB	PIGSTY 1.3.3 d13.aarch64.pg15 : postgresql-15-aggs-for-arrays postgresql-15-aggs-for-arrays_1.3.3-1PIGSTY~trixie_arm64.deb PIGSTY · 1.3.3 · 48.0KiB	PIGSTY 1.3.3 d13.aarch64.pg14 : postgresql-14-aggs-for-arrays postgresql-14-aggs-for-arrays_1.3.3-1PIGSTY~trixie_arm64.deb PIGSTY · 1.3.3 · 48.0KiB
u22.x86_64	PIGSTY 1.3.3 u22.x86_64.pg18 : postgresql-18-aggs-for-arrays postgresql-18-aggs-for-arrays_1.3.3-1PIGSTY~jammy_amd64.deb PIGSTY · 1.3.3 · 44.3KiB	PIGSTY 1.3.3 u22.x86_64.pg17 : postgresql-17-aggs-for-arrays postgresql-17-aggs-for-arrays_1.3.3-1PIGSTY~jammy_amd64.deb PIGSTY · 1.3.3 · 45.6KiB	PIGSTY 1.3.3 u22.x86_64.pg16 : postgresql-16-aggs-for-arrays postgresql-16-aggs-for-arrays_1.3.3-1PIGSTY~jammy_amd64.deb PIGSTY · 1.3.3 · 45.6KiB	PIGSTY 1.3.3 u22.x86_64.pg15 : postgresql-15-aggs-for-arrays postgresql-15-aggs-for-arrays_1.3.3-1PIGSTY~jammy_amd64.deb PIGSTY · 1.3.3 · 45.7KiB	PIGSTY 1.3.3 u22.x86_64.pg14 : postgresql-14-aggs-for-arrays postgresql-14-aggs-for-arrays_1.3.3-1PIGSTY~jammy_amd64.deb PIGSTY · 1.3.3 · 45.6KiB
u22.aarch64	PIGSTY 1.3.3 u22.aarch64.pg18 : postgresql-18-aggs-for-arrays postgresql-18-aggs-for-arrays_1.3.3-1PIGSTY~jammy_arm64.deb PIGSTY · 1.3.3 · 48.4KiB	PIGSTY 1.3.3 u22.aarch64.pg17 : postgresql-17-aggs-for-arrays postgresql-17-aggs-for-arrays_1.3.3-1PIGSTY~jammy_arm64.deb PIGSTY · 1.3.3 · 49.8KiB	PIGSTY 1.3.3 u22.aarch64.pg16 : postgresql-16-aggs-for-arrays postgresql-16-aggs-for-arrays_1.3.3-1PIGSTY~jammy_arm64.deb PIGSTY · 1.3.3 · 49.8KiB	PIGSTY 1.3.3 u22.aarch64.pg15 : postgresql-15-aggs-for-arrays postgresql-15-aggs-for-arrays_1.3.3-1PIGSTY~jammy_arm64.deb PIGSTY · 1.3.3 · 50.1KiB	PIGSTY 1.3.3 u22.aarch64.pg14 : postgresql-14-aggs-for-arrays postgresql-14-aggs-for-arrays_1.3.3-1PIGSTY~jammy_arm64.deb PIGSTY · 1.3.3 · 50.0KiB
u24.x86_64	PIGSTY 1.3.3 u24.x86_64.pg18 : postgresql-18-aggs-for-arrays postgresql-18-aggs-for-arrays_1.3.3-1PIGSTY~noble_amd64.deb PIGSTY · 1.3.3 · 43.6KiB	PIGSTY 1.3.3 u24.x86_64.pg17 : postgresql-17-aggs-for-arrays postgresql-17-aggs-for-arrays_1.3.3-1PIGSTY~noble_amd64.deb PIGSTY · 1.3.3 · 43.6KiB	PIGSTY 1.3.3 u24.x86_64.pg16 : postgresql-16-aggs-for-arrays postgresql-16-aggs-for-arrays_1.3.3-1PIGSTY~noble_amd64.deb PIGSTY · 1.3.3 · 43.6KiB	PIGSTY 1.3.3 u24.x86_64.pg15 : postgresql-15-aggs-for-arrays postgresql-15-aggs-for-arrays_1.3.3-1PIGSTY~noble_amd64.deb PIGSTY · 1.3.3 · 43.8KiB	PIGSTY 1.3.3 u24.x86_64.pg14 : postgresql-14-aggs-for-arrays postgresql-14-aggs-for-arrays_1.3.3-1PIGSTY~noble_amd64.deb PIGSTY · 1.3.3 · 43.8KiB
u24.aarch64	PIGSTY 1.3.3 u24.aarch64.pg18 : postgresql-18-aggs-for-arrays postgresql-18-aggs-for-arrays_1.3.3-1PIGSTY~noble_arm64.deb PIGSTY · 1.3.3 · 49.7KiB	PIGSTY 1.3.3 u24.aarch64.pg17 : postgresql-17-aggs-for-arrays postgresql-17-aggs-for-arrays_1.3.3-1PIGSTY~noble_arm64.deb PIGSTY · 1.3.3 · 49.7KiB	PIGSTY 1.3.3 u24.aarch64.pg16 : postgresql-16-aggs-for-arrays postgresql-16-aggs-for-arrays_1.3.3-1PIGSTY~noble_arm64.deb PIGSTY · 1.3.3 · 49.7KiB	PIGSTY 1.3.3 u24.aarch64.pg15 : postgresql-15-aggs-for-arrays postgresql-15-aggs-for-arrays_1.3.3-1PIGSTY~noble_arm64.deb PIGSTY · 1.3.3 · 50.0KiB	PIGSTY 1.3.3 u24.aarch64.pg14 : postgresql-14-aggs-for-arrays postgresql-14-aggs-for-arrays_1.3.3-1PIGSTY~noble_arm64.deb PIGSTY · 1.3.3 · 50.1KiB
u26.x86_64	PIGSTY 1.3.3 u26.x86_64.pg18 : postgresql-18-aggs-for-arrays postgresql-18-aggs-for-arrays_1.3.3-1PIGSTY~resolute_amd64.deb PIGSTY · 1.3.3 · 44.3KiB	PIGSTY 1.3.3 u26.x86_64.pg17 : postgresql-17-aggs-for-arrays postgresql-17-aggs-for-arrays_1.3.3-1PIGSTY~resolute_amd64.deb PIGSTY · 1.3.3 · 44.4KiB	PIGSTY 1.3.3 u26.x86_64.pg16 : postgresql-16-aggs-for-arrays postgresql-16-aggs-for-arrays_1.3.3-1PIGSTY~resolute_amd64.deb PIGSTY · 1.3.3 · 44.4KiB	PIGSTY 1.3.3 u26.x86_64.pg15 : postgresql-15-aggs-for-arrays postgresql-15-aggs-for-arrays_1.3.3-1PIGSTY~resolute_amd64.deb PIGSTY · 1.3.3 · 44.7KiB	PIGSTY 1.3.3 u26.x86_64.pg14 : postgresql-14-aggs-for-arrays postgresql-14-aggs-for-arrays_1.3.3-1PIGSTY~resolute_amd64.deb PIGSTY · 1.3.3 · 44.7KiB
u26.aarch64	PIGSTY 1.3.3 u26.aarch64.pg18 : postgresql-18-aggs-for-arrays postgresql-18-aggs-for-arrays_1.3.3-1PIGSTY~resolute_arm64.deb PIGSTY · 1.3.3 · 49.8KiB	PIGSTY 1.3.3 u26.aarch64.pg17 : postgresql-17-aggs-for-arrays postgresql-17-aggs-for-arrays_1.3.3-1PIGSTY~resolute_arm64.deb PIGSTY · 1.3.3 · 49.9KiB	PIGSTY 1.3.3 u26.aarch64.pg16 : postgresql-16-aggs-for-arrays postgresql-16-aggs-for-arrays_1.3.3-1PIGSTY~resolute_arm64.deb PIGSTY · 1.3.3 · 49.9KiB	PIGSTY 1.3.3 u26.aarch64.pg15 : postgresql-15-aggs-for-arrays postgresql-15-aggs-for-arrays_1.3.3-1PIGSTY~resolute_arm64.deb PIGSTY · 1.3.3 · 50.2KiB	PIGSTY 1.3.3 u26.aarch64.pg14 : postgresql-14-aggs-for-arrays postgresql-14-aggs-for-arrays_1.3.3-1PIGSTY~resolute_arm64.deb PIGSTY · 1.3.3 · 50.2KiB

构建

您可以使用 pig build 命令构建 aggs_for_arrays 扩展的 RPM / DEB 包：

BASH

pig build pkg aggs_for_arrays         # 构建 RPM / DEB 包

安装

您可以直接安装 aggs_for_arrays 扩展包的预置二进制包，首先确保 PGDG 和 PIGSTY 仓库已经添加并启用：

BASH

pig repo add pgsql -u          # 添加仓库并更新缓存

使用 pig 或者是 apt/yum/dnf 安装扩展：

安装

BASH

pig install aggs_for_arrays;          # 当前活跃 PG 版本安装

pig

BASH

pig ext install -y aggs_for_arrays -v 18  # PG 18
pig ext install -y aggs_for_arrays -v 17  # PG 17
pig ext install -y aggs_for_arrays -v 16  # PG 16
pig ext install -y aggs_for_arrays -v 15  # PG 15
pig ext install -y aggs_for_arrays -v 14  # PG 14

dnf

BASH

dnf install -y aggs_for_arrays_18       # PG 18
dnf install -y aggs_for_arrays_17       # PG 17
dnf install -y aggs_for_arrays_16       # PG 16
dnf install -y aggs_for_arrays_15       # PG 15
dnf install -y aggs_for_arrays_14       # PG 14

apt

BASH

apt install -y postgresql-18-aggs-for-arrays   # PG 18
apt install -y postgresql-17-aggs-for-arrays   # PG 17
apt install -y postgresql-16-aggs-for-arrays   # PG 16
apt install -y postgresql-15-aggs-for-arrays   # PG 15
apt install -y postgresql-14-aggs-for-arrays   # PG 14

创建扩展：

SQL

CREATE EXTENSION aggs_for_arrays;

用法

aggs_for_arrays: 单数组的类聚合函数（逐列模式）

提供对单个数组输入计算统计量的函数。支持 SMALLINT、INTEGER、BIGINT、REAL 和 DOUBLE PRECISION 类型。

SQL

CREATE EXTENSION aggs_for_arrays;

函数

函数	说明
`array_to_hist(values T[], start T, width T, count INT)`	计算直方图分桶计数
`array_to_hist_2d(x[], y[], ...)`	二维直方图
`array_to_mean(values T[])`	数组元素的均值
`array_to_median(values T[])`	中位数（输入无需排序）
`sorted_array_to_median(values T[])`	中位数（输入已排序）
`array_to_mode(values T[])`	数组元素的众数
`sorted_array_to_mode(values T[])`	众数（输入已排序）
`array_to_percentile(values T[], pct FLOAT)`	百分位数（0 到 1）
`sorted_array_to_percentile(values T[], pct FLOAT)`	百分位数（输入已排序）
`array_to_percentiles(values T[], pcts FLOAT[])`	多个百分位数
`sorted_array_to_percentiles(values T[], pcts FLOAT[])`	多个百分位数（输入已排序）
`array_to_max(values T[])`	最大元素
`array_to_min(values T[])`	最小元素
`array_to_min_max(values T[])`	`{min, max}` 元组
`array_to_skewness(values T[])`	偏度
`array_to_kurtosis(values T[])`	峰度

示例

SQL

-- 10 个分桶的直方图，起始值 0，桶宽 10
SELECT array_to_hist(ARRAY[5,15,25,35,45], 0, 10, 5);
-- {1,1,1,1,1}

-- 均值和中位数
SELECT array_to_mean(ARRAY[1,2,3,4,5]);   -- 3.0
SELECT array_to_median(ARRAY[1,2,3,4,5]); -- 3.0

-- 百分位数
SELECT array_to_percentile(ARRAY[1,2,3,4,5,6,7,8,9,10], 0.95);

-- 一次计算多个百分位数
SELECT array_to_percentiles(ARRAY[1,2,3,4,5], ARRAY[0.25, 0.5, 0.75]);

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